I have not been to this location before, but here is what I found online ... The 1 mile out-and-back trail can be accessed from either entrance to Fort Dickerson Park. From the main entrance off Chapman Highway, the trail is a little hard to find — walk across the open field to the right of the quarry overlook and head towards the powerlines. You'll soon pick up a mowed path that will lead to the wooded singeltrack trail. Steep in places, this multi-use trail drops down to the Augusta Street entrance where it connects with the Fort Dickerson Greenway. Follow the greenway over to the scenic waters along the quarry's edge.
Let's plan to meet at the main entrance parking ... Main Entrance:
3000 Fort Dickerson Road
Directions: Take I–40 to the James White Parkway, exit 389 and travel south. Cross the South Knoxville Bridge and take the 1st exit heading west off the ramp onto Sevier Ave. Continue straigt on E Blount Ave and turn left on Chapman Highway. Turn right on Fort Dickerson Rd which will end at the park.
For more information about this location ... http://www.outdoorknoxville.com/places/trails/south/fort-dickerson-park-trails